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3 years ago

A container is shaped like a rectangular solid with sides of 3 inches, 3 inches, and 11

Mathematics

1 answer:

iogann1982 [59]3 years ago

5 0

It would be about 4/10 of a gallon

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Question

meriva

Question:

In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?

Answer:

Probability that a bird will win the top prize is 0.167

Step-by-step explanation:

Given:

The number of dogs = 7

The number of cats = 6

The number of birds = 3

The number of gerbils = 2

To Find:

Probability that a bird will win the top prize = ?

Solution:

Let us first find the total number of pets .

The Total number of pets = 7 + 6 + 3 + 2 = 18

Now the probability of a bird will win the top prize is

=> $\frac{\text {Number of birds}}{\text{ Total number of pets}}$

=> $\frac{3}{18}$

=> $\frac{1}{6}$

=>0.167

4 0

3 years ago

A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. The followi

vfiekz [6]

Answer:

Step-by-step explanation:

Since the pennies need to be kept under the pillow in order to be doubled, we're really looking for the day the girl will wake up with 5 billion pennies under her pillow.

The general formula of that geometric sequence will be: t = 1 + 2^(n-1)

We need to find the value of n when t will be over 5,000,000,000.

So, the equation becomes:

5,000,000,001 = 1 + 2^(n-1)

$2^{n-1}= 5,000,000,001$

$log(2^{n-1}) = log(5,000,000,000)$

(n-1) * log(2) = log(5,000,000,000)

n-1 = log(5,000,000,000) / log(2)

n-1 = 22.25

n = 33.25

Since it has to be complete days, and we have to reach over 5 billion, then we round it up to 34.

7 0

3 years ago

Simplify each expression as much as possible, and rationalize denominators when applicable. √72=?

Misha Larkins [42]

Answer:

6√2

Step-by-step explanation:

Solving the given expression step by step:

72 = 2 × 2 × 2 × 3 × 3

Now for finding the square root we will make pair of two numbers of same values.

We have one pair of 2's and one pair of 3's and left one 2

Thus, √72 = 2 × 3 × √2 = 6√2

We rationalize denominator and change it into a simpler form as soon as possible.

3 0

3 years ago

The sum of 4 consecutive integers is 40 what is the third number in this sequence?

Dmitry [639]

Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40 The third number in the sequence is x+2
4x+6=40 8.5+2=10.5
4x+6-6=40-6 Therefore the third number in the sequence is
4x=34 10.5
4x/4=34/4
x=8.5

3 0

4 years ago

Please answer ASAP!!<br>plssss

34kurt

Answer:

86°

Step-by-step explanation:

b = 29× 2 = 58

d= [180-(86+29)]×2 = 130

a=c=x

a+b+c+d = 360

2x+188= 360

2x= 172

x= 86

a = c = 86°

6 0

3 years ago